The Hopf type theorem for equivariant local maps

TL;DR

This paper establishes a Hopf type theorem for equivariant local maps within the framework of real finite-dimensional orthogonal representations of compact Lie groups, advancing the understanding of their otopy classes.

Contribution

It introduces a Hopf type theorem specifically for equivariant local maps in the context of compact Lie group representations, filling a gap in the mathematical theory.

Findings

Proves a Hopf type theorem for equivariant local maps.

Classifies otopy classes of such maps.

Extends classical results to the equivariant setting.

Abstract

We study otopy classes of equivariant local maps and prove the Hopf type theorem for such maps in the case of a real finite dimensional orthogonal representation of a compact Lie group.